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4 years ago

Identify the constant of proportionality in the equation. 5y = 35x A) 1 B) 5 C) 7 D) 35

Mathematics

2 answers:

Sidana [21]4 years ago

4 0

Answer:

It's 7

Step-by-step explanation:

5y=35 the easiest way is 35/5=7 7x5=35

zhenek [66]4 years ago

4 0

Answer:

Step-by-step explanation:

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Solving Quadratic Equations using the Square Root Property

Afina-wow [57]

Answer:

$x = -2$ or $x = -5$

Step-by-step explanation:

You need to complete the square before you can take the square root of both sides.

$x^2 + 7x + 10 = 0$

Subtract 10 from both sides.

$x^2 + 7x = -10$

To complete the square, you need to add the square of half of the x-term coefficient to both sides.

The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.

$x^2 + 7x + \dfrac{49}{4} = -10 + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = -\dfrac{40}{4} + \dfrac{49}{4}$

$(x + \dfrac{7}{2})^2 = \dfrac{9}{4}$

Now we use the square root property, if

$x^2 = k$ , then

$x = \pm \sqrt{k}$

$x + \dfrac{7}{2} = \pm \sqrt{\dfrac{9}{4}}$

$x + \dfrac{7}{2} = \pm \dfrac{3}{2}$

$x + \dfrac{7}{2} = \dfrac{3}{2}$ or $x + \dfrac{7}{2} = -\dfrac{3}{2}$

$x = -\dfrac{4}{2}$ or $x = -\dfrac{10}{2}$

$x = -2$ or $x = -5$

5 0

3 years ago

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a maj

Charra [1.4K]

Answer:

d. 0.0023

Step-by-step explanation:

Calculation for the probability of getting a sample average of 1.8 or less

Using this formula

z score =(X-mean)/Standard errror

Where,

Standard error =Standard deviation/√(n)

Let plug in the formula

P(Xbar<1.8)=P(Z<(1.8 hours per day -2.2 hours per day)/(2 hours /√(200))

P(Xbar<1.8)=P(Z<-0.4/(2/14.14))

=P(Z<-0.4/0.1414)

=P(Z<-2.83)

Now let find the Z score of P(Z<-2.83) using the z table

P=0.0023

Therefore the probability of getting a sample average of 1.8 or less is:0.0023

5 0

3 years ago

how do you determine if the answer to a problem is negative or positive in division multiplication addition and subtraction

erica [24]

In multiplication, a negative times a positive has a negative answer. if both are positive or both are negative, the answer is positive.
5 * -5 = -25
-5* -5 = 25

in divisions say you have
-5/5 = -1
-5/-5= 1
5/-5= -1

in addition and subtraction, subtracting a negative means to add the two numbers. adding a negative means to subtract the second number.

5+ (-5) = 0
5- (-5) = 10

7 0

3 years ago

Read 2 more answers

There are 70 sixth graders at Wilson Middle School. Only 40% of the sixth graders will attend the morning assembly. How many six

Leni [432]

Answer: 28

Step-by-step explanation: All you have to do is multiply 70 by 4 and take away the zero to get your answer

8 0

3 years ago

Help if you can, thanks.

Leya [2.2K]

Answer:

what question baby girl

Step-by-step explanation:

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2 years ago